What is the slope of the line represented by y = 1 - 8x?

Answers

Answer 1

Answer:

It’s -8

Step-by-step explanation:

Just the number multiplied by x if we have the form y=ax+b or y=b+ax

Answer 2

The slope of a line is represented by the coefficient of the x term in the equation. In the equation y=1−8x, the coefficient of the x term is −8. Therefore, the slope of the line is −8.

Another way to think about the slope of a line is to imagine that the line is a hill. The slope of the hill tells you how steep it is. A positive slope means that the hill is going up, while a negative slope means that the hill is going down. A steeper slope means that the hill is rising or falling more quickly.

In the case of the line y=1−8x, the slope is −8, which means that the line is going down very steeply. For every 1 unit that you move to the right on the x -axis, you move 8 units down on the y -axis.

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What Is The Slope Of The Line Represented By Y = 1 - 8x?

Related Questions

You need 2 gallons of juice for every 12 people attending the open house. How many gallons of juice would be needed for 156 people?

Answers

Answer:

26 gallons of juice

Step-by-step explanation:

156/12 = 13

13x2=26

Answer: 26 gallons

Step-by-step explanation:

2 gallons for every 12 people so you want to do 156 divided by 12 which would be 13. That shows that there are 13 times more people than there were before. You would then multiply 2 by 13 which would give you 26 gallons of juice.

Which is better to buy? - A 3lbs. bag of apples for $2.99 or a 5lbs. bag for $4.99?

Answers

IS THERE AN OPTION TO SAY THEY ARE EQUAL IF THERE IS THEN THAT IS THE ANSWER :}

If you were calculating the volume of a cube that has a side length of 8 inches, how would you write the calculations in exponential form? What are 2 more ways to read the exponent verbally.

Answers

Answer:  8^3,  Eight to the third power,  Eight times eight times eight.

Final answer:

To calculate the volume of a cube with a side length of 8 inches, you write the calculation in exponential form as V = 8^3, which is read as '8 cubed' or '8 to the third power', resulting in a volume of 512 cubic inches.

Explanation:

To calculate the volume of a cube using a side length of 8 inches, you can write the calculation in exponential form as V = 8^3. This represents the volume (V) as the length of a side of the cube (8 inches) raised to the power of 3. In exponential form, 8^3 is 8 cubed or 8 to the third power, both of which mean 8 multiplied by itself twice more (8 x 8 x 8).

Therefore, the volume of the cube would be 512 cubic inches because 8 x 8 x 8 equals 512.

the equation of a line β is 2x-3y=6
find the gradient of β

Answers

Answer:

2/3

Step-by-step explanation:

Rewrite the equation into the form of y=mx+c

m is the gradient of the line.

2x-3y=6

3y= 2x-6 (bring y terms to one side, the rest to the other)

y= 2/3x -2 (÷3 throughout)

Thus the gradient is 2/3.

7 + 7x; 7(x+1)

Are these equivalent?
TRUE or FALSE?

Answers

Answer:

I believe it would be true

30 POINTS please help

Answers

Answer:

B :)

Step-by-step explanation:

The length and width of a rectangle are 4 feet and 3 feet, respectively. A similar rectangle has a length of 10 feet. What is the width of the second rectangle?

Answers

the length of the second one is 9

If h = 24 units and r = 8 units, what is the volume of the cone shown above?
Use 3.14 for π

Answers

Answer:

1,607  volume

Step-by-step explanation:

Evaluate 60 • x-60 · 15, when x=8.
Step 1 60• x-60 • 15 = 60(x - 15)
Step 2
Step 3
= 480 – 15
Step 4
465
Where is the error

Answers

Answer:

The right answer is, -420

Step-by-step explanation:

Because we use common factor:

60 (x - 15)

We multiply for each term:

 

60 (x) - 60 (15)

60 (8) - 60 (15)

We solve:

480 - 900 = -420

3200 dollars is placed in an account with an annual interest rate of 8.25%. To the nearest tenth of a year, how long will it take for the account value to reach 9600 dollars?

Answers

Answer:13.9

Step-by-step explanation:

Final answer:

Using the compound interest formula, it will take approximately 14.9 years for an account with a $3,200 initial deposit and an 8.25% annual interest rate to grow to $9,600.

Explanation:

To find out how long it will take for an account with an initial value of $3,200 and an annual interest rate of 8.25% to grow to $9,600, we can use the future value formula for compound interest:

The formula is FV = PV (1 + r)^n, where:

FV is the future value of the money after n years,PV is the present value or initial amount (which is $3,200),r is the annual interest rate (which is 0.0825), andn is the number of years.

To find n when FV is $9,600, we rearrange our formula to solve for n:

n = log(FV / PV) / log(1 + r)

Now, plug in the values:

n = log(9600 / 3200) / log(1 + 0.0825)
n = log(3) / log(1.0825)
n ≈ 14.9 years

So, it will take approximately 14.9 years for the account value to reach $9,600.

The lid of a jewelry box is in the shape of a triangular prism. The lid has a height of 10 inches. The triangular base of the lid has a base of 6 1/2 inches and a height of 3 1/2 inches. What is the volume of the lid to the nearest tenth?

Answers

Final answer:

The volume of the lid is approximately 113.8 cubic inches.

Explanation:

The volume of the lid can be found by multiplying the area of the triangular base by the height of the lid. The area of a triangle can be found by using the formula: Area = (base x height) / 2. In this case, the base is 6 1/2 inches and the height is 3 1/2 inches. Plugging these values into the formula, we get: Area = (6.5 x 3.5) / 2 = 11.375 square inches. Now, to find the volume of the lid, we multiply the area by the height: Volume = 11.375 x 10 = 113.75 cubic inches. Rounding to the nearest tenth, the volume of the lid is 113.8 cubic inches.

The volume of the lid is 113.8 cubic inches.

To determine the volume of the lid of the jewelry box, we need to use the formula for the volume of a triangular prism, which is V = (1/2 * base * height of triangular base) * height of the prism.

First, calculate the area of the triangular base:

Base of the triangular base: 6.5 inchesHeight of the triangular base: 3.5 inchesArea = 1/2 * 6.5 inches * 3.5 inches = 11.375 square inches

Next, multiply the area of the triangular base by the height of the prism:

Height of the prism: 10 inchesVolume = 11.375 square inches * 10 inches = 113.75 cubic inches

Therefore, the volume of the lid to the nearest tenth is 113.8 cubic inches.

Spinning Spinner 1st Simulation Colors Tally red 14 yellow 6 green 19 blue 1 2nd Simulation Colors Tally red 24 yellow 17 green 28 blue 11 3rd Simulation Colors Tally red 26 yellow 24 green 32 blue 38 Jill conducted three simulations of spinning a fair spinner (four sections of different colors--red, blue, yellow, green). The first simulation consisted of 40 spins, the second simulation consisted of 80 spins and the third simulation consisted of 120 spins. The results were recorded in the tables shown. Do the results for the green section follow the law of large numbers? Why or why not? A) no, because the probability of green is the same for each of the simulations. B) yes, because the probability of green is different for each of the simulations. C) no, because with each simulation, as the number of trials increase, the probabilities vary greatly and do not approach the theoretical probability of 1 4 . Eliminate D) yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of 1 4 .

Answers

Answer: D

Step-by-step explanation: yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of

1/4.

The answer is D

Step-by-step explanation:

because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of

1

4

. The law of large numbers indicates that if an event of probability p is observed repeatedly during independent repetitions, the ratio of the observed frequency of that event to the total number of repetitions approaches p as the number of repetitions becomes arbitrarily large.

find the equation of the tangent to the curve at x=3 for parametric equations

x = t + 1/t
y = t^2 + 1/(t^2) when t is greater than 0

Answers

Answer:

y = 6x − 11

Step-by-step explanation:

x = t + (1/t), y = t² + (1/t²)

If we square x:

x² = t² + 2 + (1/t²)

x² = y + 2

When x = 3, y = 7.

Taking derivative with respect to time:

2x = dy/dx

dy/dx = 6

So the equation of the tangent line is:

y − 7 = 6 (x − 3)

y − 7 = 6x − 18

y = 6x − 11

multiply 72 x 25/100

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

A farm stand wants to sell fruit to local grocery stores in packages with
baskets of grapes, worth $5 apiece, and baskets of plums, worth $10 apiece.
The owner wants each package to include 35 baskets total, and he wants to
sell each package for $290. How many baskets of grapes and how many
baskets of plums should he put in each package?
O
A. 12 grapes, 23 plums
OB. 10 grapes, 5 plums
O
C. 5 grapes, 10 plums
O
D. 23 grapes, 12 plums

Answers

A.12 grapes, 23 plums

Step-by-step explanation:

1. solve all the equations by multiplying each number by how much each item is worth

2. A: 290 =(12× 5)+(10×23)

B: 100 =(10×5)+(5×10)

C:125 =(5×5)+(10×10)

D:235 =(23×5)+(12×10)

If f(x) = -3x – 9 and g(x) = (x+7,
what is (fºg)(-6)?
Helppp

Answers

Answer:

-12

Step-by-step explanation:

we know that

(fºg)(x)=f(g(x))

To find out the composite function f(g(x)) substitute the variable x in the function f(x) by the function g(x)

we have

[tex]f(x)=-3x-9[/tex]

[tex]g(x)=x+7[/tex]

so

[tex]f(g(x))=-3(x+7)-9[/tex]

For x=-6

substitute

[tex]f(g(-6))=-3(-6+7)-9[/tex]

[tex]f(g(-6))=-3(1)-9[/tex]

[tex]f(g(-6))=-12[/tex]

KNOWLEDGE CHECK: ALEKS

Answers

Answer: X = -116

Explanation start with subtracting 41 from both sides. -X=116. So X= -16.

The value of x that satisfies the equation 41 - x = 157 is x = -116.

To solve for x in the equation 41 - x = 157, we need to isolate x on one side of the equation.

Let's go step by step:

Step 1: Start with the given equation.

41 - x = 157

Step 2: Get rid of the constant term on the left side (41) by subtracting it from both sides of the equation.

(41 - x) - 41 = 157 - 41

Simplifying the left side:

41 - 41 - x = 157 - 41

0 - x = 116

Step 3: We have -x on the left side, and we want to solve for x, so we need to get rid of the negative sign in front of x.

To do that, we can multiply both sides of the equation by -1.

When we multiply a number by -1, the sign changes.

(-1) * (-x) = (-1) * 116

Simplifying the left side:

x = -116

Step 4: Now we have found the value of x, which is x = -116.

To verify our solution, we can substitute the value of x back into the original equation and see if it holds true:

41 - (-116) = 157

Simplifying:

41 + 116 = 157

157 = 157

Since both sides of the equation are equal after simplification, our solution x = -116 is correct.

Therefore, the value of x that satisfies the equation 41 - x = 157 is x = -116.

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What's the distance between (–4, 3) and (4, 3)?

Answers

Answer:

The distance between (-4, 3) and (4, 3) is 8

Step-by-step explanation:

Distance formula:  [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Distance:  [tex]\sqrt{(4 - (-4)^2 + (3 - 3)^2}[/tex]

Distance:  [tex]\sqrt{(4 + 4)^2 + (0)^2}[/tex]

Distance:  [tex]\sqrt{8^2} \\[/tex]

Distance:  8

Answer:  The distance between (-4, 3) and (4, 3) is 8

help please, ive been sitting on this chair for 2 hours

Answers

The answer is 360 inches squared

Answer:

Step-by-step explanation:

We need to analyze the surface

Look at the L shape, it has a mirror image at the back, which is symmetrical to the front side

Then,

area of rectangle = length × breadth

The L shape can be divided into two plane shape

1. A rectangle of length 10in and breadth 6in,

Then, A=l×b=10×6 = 60in²

2. To a square of side a=4in

Then, A=s²=4²=16in²

Then, the total area of one side of the L shape is

A=60+16=76in²

Also, the total area of the two L shape is =2×76

A=152in²

Then, let look at the back side of the solid and the front side, they are also symmetrical.

It forms a rectangle of length 10in and breadth 6in

Then, A= l×b=10×6=60in²

Area of the two sides is =60×2

A=120in²

The total are of the front and back side is 120in²

A=120in²

Let take a look at the top and bottom, they are also symmetrical and has a dimension of length 10in and breadth 6in

Then, A=l×b=10×6=60in²

So, total area =2×60 =120in²

The total area of the shape is the total area of top+ total are of the sides + total area of the L shape

Total area=152+120+120=392in²

A(total)=392in²

Then, the total area of the solid shape is 392in²

The first option is correct

Use the Pythagorean Theorem to find the missing side. Round your answer to the nearest hundredth.
19 m
52 m

Answers

Answer:

55m

Step-by-step explanation:

a²+b²=c²

19 x 19 = 361

52 x 52 = 2704

2704 + 361= 3065

the square root of 3065 is 55.4 so round that to 55.

HELP PLEASE BE QUICK

Answers

Answer:

Option A, V = π(7)^2h

Step-by-step explanation:

The formula for the volume of a cylinder:  V = πr^2h

Step 1:  Since the give us diameter we need to find radius

radius = diameter/2

radius = 14/2

radius = 7

Answer:  Option A, V = π(7)^2h

Answer:

A

Step-by-step explanation:

Volume of a cylinder = pi r2 h

Where pi = 3.14

Radius r = diameter/2

Diameter given is 14,

So radius = 24/2 = 7

Height h

Volume = pi(7)^2 h

At his last track meet, Eli ran the 400-meter dash in 54 seconds. His friend Kimberly bet him that he couldn't run a whole kilometer at that pace, but Eli is determined to prove her wrong. How many minutes would he have to run at this pace to win the bet?

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

Answers

Answer:

Eli has to run for 2.25 minutes at this pace to win the bet.

Step-by-step explanation:

At his last track meet, Eli ran the 400-meter dash in 54 seconds.

So, the speed of Eli's run is [tex]\frac{400}{54} \times 60 = 444.44[/tex] meters per minute.

Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within [tex]\frac{1000}{444.44} = 2.25[/tex] minutes.

Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)

You start driving north for 21 miles, turn right, and drive east for another 20 miles.

How many miles must you travel to return directly back to your starting point?

Answers

Answer:

40

Step-by-step explanation:

add 21 + 20

hope this helps :)

What is the decimal equivalent of the rational number -1/8

Answers

Answer:

-0.125

Step-by-step explanation:

To find the decimal version of the fraction, divide using a calculator or long division.

-1 / 8 = -0.125

Best of Luck!

I need help please and can you explain
ANSWER ASAP!!!!

Answers

The app uses 2^28 bytes.

Step-by-step explanation:

Step 1: Given total storage used by the app = 4^4 Megabytes. Also, 1 MB = 2^20 bytes. Find total storage used by app in bytes.

⇒ 4^4 × 2^20 = (2²)^4 × 2^20 = 2^8 × 2^20

                       = 2^8+20

                       = 2^28 bytes (using the law of exponents a^m × a^n = a^m+n)

Find two numbers, if

Their sum is − 1/3 and their difference is 18

Answers

Let the two numbers be [tex]x,y[/tex].

We have

[tex]\begin{cases}x+y=-\frac{1}{3}\\x-y=18\end{cases}[/tex]

From the second equation, we derive [tex]x=18+y[/tex]

Plugging this value in the first equation, we have

[tex]18+y+y=-\dfrac{1}{3} \iff 2y=-\dfrac{1}{3}-18\iff 2y=-\dfrac{55}{3} \iff y=-\dfrac{55}{6}[/tex]

And we derive

[tex]x=18+y=18-\dfrac{55}{6}=\dfrac{53}{6}[/tex]

Answer:

The two numbers are: -9.17 and 8.83

Step-by-step explanation:

Let the two numbers represent 'x' and 'y'

Their sum is − 1/3 ==>          x + y = -1/3  .................(eqn 1)

Their difference is 18 ==>    x − y = 18  ....................(eqn 2)

from equation 2,

x = 18 + y

therefore, substitute for 'x' in (eqn 1) to get y

(18+y) + y = -1/3

18 + 2y = -1/3

2y = -1/3 − 18

2y = -[tex]18\frac{1}{3}[/tex]

2y = - 55/3

y = (-55/3) / 2

y = -55/3 x 1/2

y = -55/6 = -9.17

Substitute for 'y' in either equation

picking (eqn 2)

x − (-9.17) = 18

x + 9.17 = 18

x = 18 − 9.17

x = 8.83


1. y = 6x
2x + 3y = -20

Answers

Step-by-step explanation:

[tex]y = 6x[/tex]

[tex]2x + 3y = -20[/tex]

To solve this system of equations, let's multiply the first equation by [tex]-3[/tex] to get a [tex]3y[/tex] term in each equation:

[tex]-3y = -18x[/tex]

Now, let's add the two equations together:

[tex](2x + 3y) + (-3y) = -20 + (-18x)[/tex]

[tex]2x = -20 - 18x[/tex]

[tex]20x = -20[/tex]

[tex]x = -1[/tex]

Now, we can plug in this value of [tex]x[/tex] into either equation to solve for [tex]y[/tex]:

[tex]y = 6x[/tex]

[tex]y = 6(-1)[/tex]

[tex]y = -6[/tex]

or

[tex]2x + 3y = -20[/tex]

[tex]2(-1) + 3y = -20[/tex]

[tex]-2 + 3y = -20[/tex]

[tex]3y = -18[/tex]

[tex]y = -6[/tex]

Therefore, the solution to this system of equations is [tex](-1, -6)[/tex].

Answer:

x = -1

y = -6

Step-by-step explanation:

y = 6x

2x + 3y = -20

Substitute the first expression into the second one

We have

2x + 3y = -20

2x + 3(6x) = -20

2x + 18x = -20

20x = -20

Divide both sides by 20 to isolate x

20x/20 = -20/20

x = -1

Remember the first expression

y = 6x

Therefore

y = 6(-1)

y = 6 x -1

y = -6

Check

2(-1) + 3(-6) = -20

-2 + -18 = -20

-2 - 18 = -20

-20 = -20

So our answer is correct

Answer these 2 questions and you get 15 points

Answers

Question 1: Option B: [tex]\frac{10}{14}=\frac{5}{7}[/tex]

Question 2: Option C: [tex]\frac{12}{18}=\frac{4}{6}[/tex]

Solution:

Question 1:

Given ratio is [tex]\frac{10}{14}[/tex].

To find the equivalent ratio of [tex]\frac{10}{14}[/tex].

10 and 14 have the common factor 2.

So divide both numerator and denominator by the common factor 2.

[tex]$\frac{10}{14}=\frac{10\div2}{14\div 2}[/tex]

    [tex]$=\frac{5}{7}[/tex]

[tex]$\frac{10}{14}=\frac{5}{7}[/tex]

Hence option B is the correct answer.

Question 2:

Given ratio is [tex]\frac{10}{14}[/tex].

To find the equivalent ratio of [tex]\frac{12}{18}[/tex].

12 and 18 have the common factor 3.

So divide both numerator and denominator by the common factor 3.

[tex]$\frac{12}{18}=\frac{12\div3}{18\div 3}[/tex]

    [tex]$=\frac{4}{6}[/tex]

[tex]$\frac{12}{18}=\frac{4}{6}[/tex]

Hence option C is the correct answer.

A 23-year-old female buys 25/50/100 liability insurance, collision insurance with a $250 deductible, and comprehensive insurance with a $100 deductible. What is her total annual premium? Use the base premium and rating factor tables used to calculate the annual car insurance premium of a person.

Answers

Answer: $1090.80

Step-by-step explanation:

Answer:

$1,090.80

Step-by-step explanation:

Bodily injury; 25/50=$220

Property; 100=$375

Collision deductibles;$250=$185

Comprehensive deductibles;$100=$129

220+375+185+129 = 909

909*1.2=1,090.8

Took the test

A cable television provider offers six
different news stations. If 25% of the
stations offered are news, how many
stations are offered by the provider?

Answers

Answer:

24 stations

Step-by-step explanation:

we know that

six stations represent 25% of the stations offered

so

using a proportion

Find out how many stations represent a percentage of 100%

[tex]\frac{6}{25\%}=\frac{x}{100\%}\\\\x=6(100)/25\\\\x=24\ stations[/tex]

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